Article-Journal

Peridynamics-Based Discrete Element Method (PeriDEM) Model of Granular Systems Involving Breakage of Arbitrarily Shaped Particles
Usage, manipulation, transport, delivery, and mixing of granular or particulate media, comprised of spherical or polyhedral particles, …
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Analysis of a New Multispecies Tumor Growth Model Coupling 3D Phase-Fields With a 1D Vascular Network
In this work, we present and analyze a mathematical model for tumor growth incorporating ECM erosion, interstitial flow, and the effect …
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Nonlocal Elastodynamics and Fracture
A nonlocal field theory of peridynamic type is applied to model the brittle fracture problem. The elastic fields obtained from the …
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Finite Element Approximation of Nonlocal Dynamic Fracture Models
In this work we estimate the convergence rate for time stepping schemes applied to nonlocal dynamic fracture modeling. Here we use the …
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An Asynchronous and Task-Based Implementation of Peridynamics Utilizing HPX—the C++ Standard Library for Parallelism and Concurrency
On modern supercomputers, asynchronous many task systems are emerging to address the new architecture of computational nodes. Through …
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Bayesian-Based Predictions of COVID-19 Evolution in Texas Using Multispecies Mixture-Theoretic Continuum Models
We consider a mixture-theoretic continuum model of the spread of COVID-19 in Texas. The model consists of multiple coupled partial …
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Kinetic Relations and Local Energy Balance for LEFM from a Nonlocal Peridynamic Model
A simple nonlocal field theory of peridynamic type is applied to model brittle fracture. The kinetic relation for the crack tip …
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Finite Element Convergence for State-Based Peridynamic Fracture Models
We establish the a priori convergence rate for finite element approximations of a class of nonlocal nonlinear fracture models. We …
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Complex Fracture Nucleation and Evolution With Nonlocal Elastodynamics
A mechanical model is introduced for predicting the initiation and evolution of complex fracture patterns without the need for a damage …
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Numerical Convergence of Finite Difference Approximations for State-Based Peridynamic Fracture Models
In this work, we study the finite difference approximation for a class of nonlocal fracture models. The nonlocal model is initially …
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